Definition 2.2.8 (Coparabolic vector bundles,
[1]}) 

Let \(E_\star \)  denote a parabolic vector bundle, viewed as a parabolic
sheaf.
The associated coparabolic vector bundle, denoted
\(\widehat{E}_\star \) , is the parabolic sheaf defined by
\(\widehat{E}_\alpha :=\operatorname{colim}_{\beta > \alpha } E_{\beta } \) 
